Question

aring for Section 7.2 Introduction Objective 1 Objective Objective 1: Find and Interpret the Area under a Normal Curve 7.2 Applications of the Normal Distribution 7.2.RA-1 O of 1 Point Question Help Suppose X is a normal random variable with mean p = 47 and standard. deviation o= 11. (a) Compute the z-value corresponding to X = 35. (b) Suppose the area under the standard normal curve to the left of the Z-value found in part (a) is 0.1377 What is the area under the normal curve to the left of X = 35? (c) What is the area under the normal curve tbothe right of X = 35? (a) z = (Round to two decimal places as needed) Enter your answer in the answer box and then click Check Answer ? 2 parts remaining Club

Answer 1

we have given that:

X~N(mu,sigma²)

mean(mu)=47

sigma=11

formula: z= (x-mu)/sigma

Z=(x-mu)/sigma

a.)

if x=35

then z= (35-47)/11=-12/11=-1.090909≈-1.09(ans)

b).

we have given that

prob(z<-1.09)=0.1377

this imply that

prob(X<35)=0.1377(ans)

c).

prob(x>35)

=1-prob(x≤35)

=1- 0.1377

=0.8623(ans)

thanks!